Question

PLEASE HELP ASAP!! What are the solutions of the system?

{y=-6x-6
y=x^2-5x-6


Answer choices:

a) (0, -1) and (0, -6)

b) (0, -1) and (-6, 0)

c) (-1, 0) and (-6, 0)

d) (-1, 0) and (0, -6)

Answer 1

D. (-1, 0) and (0, -6)

Explanation:

The system of equations:

y = -6x - 6

y = x² - 5x - 6

We equate the two equations;

-6x - 6 = x² - 5x - 6

x² + x + 0 = 0

x² + x = 0

x(x + 1) = 0

So, x = 0 or -1

When x = 0,

Then y = -6(0) - 6 = -6

When x = -1,

Then y = -6(-1) - 6 = 6 - 6 = 0

So the answer is: (0, -6) and (-1, 0)